The stresses on centrally symmetric complexes and the lower bound theorems

DOI10.5802/alco.168zbMath1471.05122arXiv2008.12503OpenAlexW3174196467WikidataQ113689228 ScholiaQ113689228MaRDI QIDQ2039618

Isabella Novik, Hailun Zheng

Publication date: 5 July 2021

Published in: Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.12503

zbMATH Keywords

polytopesCohen-Macaulay complexescentrally symmetricface numbersstress spaces

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Symmetry properties of polytopes (52B15) Combinatorial aspects of simplicial complexes (05E45) Combinatorial aspects of commutative algebra (05E40)

Cites Work

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• On the number of faces of centrally-symmetric simplicial polytopes
• The number of faces of balanced Cohen-Macaulay complexes and a generalized Macaulay theorem
• The number of faces of a simplicial convex polytope
• A proof of the sufficiency of McMullen's conditions for f-vectors of simplicial convex polytopes
• Cohen-Macaulay quotients of polynomial rings
• A monotonicity property of \(h\)-vectors and \(h^*\)-vectors
• A lower bound theorem for centrally symmetric simplicial polytopes
• Combinatorics and commutative algebra.
• P.L.-spheres, convex polytopes, and stress
• The Upper Bound Conjecture and Cohen-Macaulay Rings
• Balanced Cohen-Macaulay Complexes
• FAQ on the g-theorem and the hard Lefschetz theorem for face rings

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